Analysis of xx-ph-00000324-L21-base.sdk
Contents
Original Sudoku
level: deep
position: .2.4....9..7.8....6....3.1....3..5....1.6.....3...5..2.4.5..9........3.48......7. initial
Autosolve
position: .2.4....9..7.8....6....3.1....3..5....1.6.....3...5..2.4.5..9........3.48......7. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C3,G3: 4..:
* DIS # G3: 4 # H2: 2,6 => CTR => H2: 3,5 * DIS # G3: 4 + H2: 3,5 # B4: 7,9 => CTR => B4: 6,8 * DIS # G3: 4 + H2: 3,5 + B4: 6,8 # I5: 7,8 => CTR => I5: 3 * DIS # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 # G6: 7,8 => CTR => G6: 1,6 * DIS # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 # I4: 1,6 => CTR => I4: 7,8 * PRF # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 + I4: 7,8 # B5: 7,8 => SOL * STA # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 + I4: 7,8 + B5: 7,8 * CNT 6 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| .2.4....9..7.8....6....3.1....3..5....1.6.....3...5..2.4.5..9........3.48......7. | initial |
| .2.4....9..7.8....6....3.1....3..5....1.6.....3...5..2.4.5..9........3.48......7. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,G6: 1.. / I4 = 1 => 2 pairs (_) / G6 = 1 => 1 pairs (_) G6,G9: 1.. / G6 = 1 => 1 pairs (_) / G9 = 1 => 2 pairs (_) H5,I5: 3.. / H5 = 3 => 1 pairs (_) / I5 = 3 => 1 pairs (_) E7,E9: 3.. / E7 = 3 => 2 pairs (_) / E9 = 3 => 0 pairs (_) C9,E9: 3.. / C9 = 3 => 2 pairs (_) / E9 = 3 => 0 pairs (_) I2,I5: 3.. / I2 = 3 => 1 pairs (_) / I5 = 3 => 1 pairs (_) A2,C3: 4.. / A2 = 4 => 3 pairs (_) / C3 = 4 => 0 pairs (_) E9,F9: 4.. / E9 = 4 => 2 pairs (_) / F9 = 4 => 0 pairs (_) C3,G3: 4.. / C3 = 4 => 0 pairs (_) / G3 = 4 => 3 pairs (_) E1,E3: 5.. / E1 = 5 => 2 pairs (_) / E3 = 5 => 3 pairs (_) A5,B5: 5.. / A5 = 5 => 1 pairs (_) / B5 = 5 => 2 pairs (_) H8,I9: 5.. / H8 = 5 => 1 pairs (_) / I9 = 5 => 2 pairs (_) * DURATION: 0:00:07.543776 START: 14:37:38.881347 END: 14:37:46.425123 2020-10-17 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E1,E3: 5.. / E1 = 5 ==> 2 pairs (_) / E3 = 5 ==> 3 pairs (_) C3,G3: 4.. / C3 = 4 => 0 pairs (X) / G3 = 4 ==> 0 pairs (*) * DURATION: 0:00:30.304989 START: 14:37:46.425770 END: 14:38:16.730759 2020-10-17 * REASONING C3,G3: 4.. * DIS # G3: 4 # H2: 2,6 => CTR => H2: 3,5 * DIS # G3: 4 + H2: 3,5 # B4: 7,9 => CTR => B4: 6,8 * DIS # G3: 4 + H2: 3,5 + B4: 6,8 # I5: 7,8 => CTR => I5: 3 * DIS # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 # G6: 7,8 => CTR => G6: 1,6 * DIS # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 # I4: 1,6 => CTR => I4: 7,8 * PRF # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 + I4: 7,8 # B5: 7,8 => SOL * STA # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 + I4: 7,8 + B5: 7,8 * CNT 6 HDP CHAINS / 23 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
324;L21;elev;22;11.40;11.40;9.90
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E1,E3: 5..:
* INC # E3: 5 # C3: 8,9 => UNS * INC # E3: 5 # C3: 4 => UNS * INC # E3: 5 # B4: 8,9 => UNS * INC # E3: 5 # B5: 8,9 => UNS * INC # E3: 5 # F1: 1,7 => UNS * INC # E3: 5 # F1: 6 => UNS * INC # E3: 5 # E4: 1,7 => UNS * INC # E3: 5 # E6: 1,7 => UNS * INC # E3: 5 # E7: 1,7 => UNS * INC # E3: 5 # E8: 1,7 => UNS * INC # E3: 5 # G1: 7,8 => UNS * INC # E3: 5 # G3: 7,8 => UNS * INC # E3: 5 # I4: 7,8 => UNS * INC # E3: 5 # I5: 7,8 => UNS * INC # E3: 5 => UNS * INC # E1: 5 # A2: 1,3 => UNS * INC # E1: 5 # A2: 4,5,9 => UNS * INC # E1: 5 # A7: 1,3 => UNS * INC # E1: 5 # A7: 2,7 => UNS * INC # E1: 5 # H1: 3,8 => UNS * INC # E1: 5 # H1: 6 => UNS * INC # E1: 5 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for C3,G3: 4..:
* DIS # G3: 4 # H2: 2,6 => CTR => H2: 3,5 * INC # G3: 4 + H2: 3,5 # A4: 7,9 => UNS * DIS # G3: 4 + H2: 3,5 # B4: 7,9 => CTR => B4: 6,8 * INC # G3: 4 + H2: 3,5 + B4: 6,8 # A5: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # B5: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # D6: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # E6: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # A8: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # A8: 1,2,5 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # A4: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # A5: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # B5: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # D6: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # E6: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # A8: 7,9 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # A8: 1,2,5 => UNS * INC # G3: 4 + H2: 3,5 + B4: 6,8 # I4: 7,8 => UNS * DIS # G3: 4 + H2: 3,5 + B4: 6,8 # I5: 7,8 => CTR => I5: 3 * DIS # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 # G6: 7,8 => CTR => G6: 1,6 * INC # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 # I4: 7,8 => UNS * DIS # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 # I4: 1,6 => CTR => I4: 7,8 * PRF # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 + I4: 7,8 # B5: 7,8 => SOL * STA # G3: 4 + H2: 3,5 + B4: 6,8 + I5: 3 + G6: 1,6 + I4: 7,8 + B5: 7,8 * CNT 22 HDP CHAINS / 23 HYP OPENED